By NG+ you mean NG+ difficulty right? I've read that the game restarts you with your gear and items after finishing it, so is it just an NG+ minus the "+" part?
Question, anything new you get in the "NG+" like say, bath messengers selling upgrade materials or something? It appears you can farm for regular blood stone shards but twin shards are limited per run (unless they're a rare drop from a certain enemy or two?) with only one blood chunk (the blood rock of this demake) to nab.